What is (3+2i)/(1-4i) ?

The solution to (3+2i)/(1-4i) is -5/17+14/17 i

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simplify (3+2i)/(1-4i)

simplify

\frac{3 + 2 i}{1 - 4 i}

- \frac{5}{17} + \frac{14}{17} i

Solution steps

\frac{3 + 2 i}{1 - 4 i}

Multiply by the conjugate

\frac{1 + 4 i}{1 + 4 i}

= \frac{( 3 + 2 i ) ( 1 + 4 i )}{( 1 - 4 i ) ( 1 + 4 i )}

Simplify

\frac{( 3 + 2 i ) ( 1 + 4 i )}{( 1 - 4 i ) ( 1 + 4 i )} : \frac{- 5 + 14 i}{17}

= \frac{- 5 + 14 i}{17}

Rewrite in standard complex form:

- \frac{5}{17} + \frac{14}{17} i

= - \frac{5}{17} + \frac{14}{17} i

2 (v - 1) + 4 v = 3 (v - 1) + 7

\frac{18 x ^{2} y ^{4}}{9 x ^{8} y}

i^{93}

\frac{10}{3}

2 x^{2} + 6 x + 6 = 0